SOLUTION: Without performing and mathematical calculations explain why there cannot be any solutions to the equation. √2x^2-4 + 2√3-4x +1= -6

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Question 375540: Without performing and mathematical calculations explain why there cannot be any solutions to the equation.
√2x^2-4 + 2√3-4x +1= -6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%282x%5E2-4%29%2B2%2Asqrt%283-4x%29%2B1=-6
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The assumption here is that only the positive square root for each function will be used.
The square root functions only provide non-negative results.
Adding two non-negative results to 1 will never provide a negative sum.